47437876014048 has 576 divisors, whose sum is σ = 156848259072960. Its totient is φ = 13468006416384.

The previous prime is 47437876014037. The next prime is 47437876014079. The reversal of 47437876014048 is 84041067873474.

47437876014048 is a `hidden beast` number, since 47 + 437 + 87 + 6 + 0 + 1 + 40 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5036397883 + ... + 5036407301.

It is an arithmetic number, because the mean of its divisors is an integer number (272306005335).

Almost surely, 2^{47437876014048} is an apocalyptic number.

47437876014048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47437876014048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78424129536480).

47437876014048 is an abundant number, since it is smaller than the sum of its proper divisors (109410383058912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47437876014048 is a wasteful number, since it uses less digits than its factorization.

47437876014048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11011 (or 11000 counting only the distinct ones).

The product of its (nonzero) digits is 101154816, while the sum is 63.

The spelling of 47437876014048 in words is "forty-seven trillion, four hundred thirty-seven billion, eight hundred seventy-six million, fourteen thousand, forty-eight".